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Finding the Fourth Proportional to 38,464.74, 57,652.97 and 17,644.50

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Solution

The fourth proportional to 38,464.74, 57,652.97 and 17,644.50 is: 26,446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,464.74 : 57,652.97 = 17,644.50 : x
  2. Step 2: Convert to fraction form
    38,464.74/57,652.97 = 17,644.50/x
  3. Step 3: Cross multiply
    38,464.74x = 57,652.97 × 17,644.50
  4. Step 4: Simplify right side
    38,464.74x = 1,017,257,740.94
  5. Step 5: Solve for x
    x = 1,017,257,740.94/38,464.74
  6. Step 6: Final answer
    x = 26,446.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.